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Finding the Fourth Proportional to 406,389.96, 561,092.11 and 253,660.76

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Solution

The fourth proportional to 406,389.96, 561,092.11 and 253,660.76 is: 350,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,389.96 : 561,092.11 = 253,660.76 : x
  2. Step 2: Convert to fraction form
    406,389.96/561,092.11 = 253,660.76/x
  3. Step 3: Cross multiply
    406,389.96x = 561,092.11 × 253,660.76
  4. Step 4: Simplify right side
    406,389.96x = 142,327,051,052.60
  5. Step 5: Solve for x
    x = 142,327,051,052.60/406,389.96
  6. Step 6: Final answer
    x = 350,222.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.